// reduce to a quadratic or smaller
// look for identical points
// look for all four points in a line
// note that three points in a line doesn't simplify a cubic
// look for approximation with single quadratic
// save approximation with multiple quadratics for later
int reduceOrder(const Cubic& cubic, Cubic& reduction, ReduceOrder_Quadratics allowQuadratics,
ReduceOrder_Styles reduceStyle) {
int index, minX, maxX, minY, maxY;
int minXSet, minYSet;
minX = maxX = minY = maxY = 0;
minXSet = minYSet = 0;
for (index = 1; index < 4; ++index) {
if (cubic[minX].x > cubic[index].x) {
minX = index;
}
if (cubic[minY].y > cubic[index].y) {
minY = index;
}
if (cubic[maxX].x < cubic[index].x) {
maxX = index;
}
if (cubic[maxY].y < cubic[index].y) {
maxY = index;
}
}
for (index = 0; index < 4; ++index) {
double cx = cubic[index].x;
double cy = cubic[index].y;
double denom = SkTMax(fabs(cx), SkTMax(fabs(cy),
SkTMax(fabs(cubic[minX].x), fabs(cubic[minY].y))));
if (denom == 0) {
minXSet |= 1 << index;
minYSet |= 1 << index;
continue;
}
double inv = 1 / denom;
if (approximately_equal_half(cx * inv, cubic[minX].x * inv)) {
minXSet |= 1 << index;
}
if (approximately_equal_half(cy * inv, cubic[minY].y * inv)) {
minYSet |= 1 << index;
}
}
if (minXSet == 0xF) { // test for vertical line
if (minYSet == 0xF) { // return 1 if all four are coincident
return coincident_line(cubic, reduction);
}
return vertical_line(cubic, reduceStyle, reduction);
}
if (minYSet == 0xF) { // test for horizontal line
return horizontal_line(cubic, reduceStyle, reduction);
}
int result = check_linear(cubic, reduceStyle, minX, maxX, minY, maxY, reduction);
if (result) {
return result;
}
if (allowQuadratics == kReduceOrder_QuadraticsAllowed
&& (result = check_quadratic(cubic, reduction))) {
return result;
}
memcpy(reduction, cubic, sizeof(Cubic));
return 4;
}
// reduce to a quadratic or smaller
// look for identical points
// look for all four points in a line
// note that three points in a line doesn't simplify a cubic
// look for approximation with single quadratic
// save approximation with multiple quadratics for later
int SkReduceOrder::reduce(const SkDCubic& cubic, Quadratics allowQuadratics) {
int index, minX, maxX, minY, maxY;
int minXSet, minYSet;
minX = maxX = minY = maxY = 0;
minXSet = minYSet = 0;
for (index = 1; index < 4; ++index) {
if (cubic[minX].fX > cubic[index].fX) {
minX = index;
}
if (cubic[minY].fY > cubic[index].fY) {
minY = index;
}
if (cubic[maxX].fX < cubic[index].fX) {
maxX = index;
}
if (cubic[maxY].fY < cubic[index].fY) {
maxY = index;
}
}
for (index = 0; index < 4; ++index) {
double cx = cubic[index].fX;
double cy = cubic[index].fY;
double denom = SkTMax(fabs(cx), SkTMax(fabs(cy),
SkTMax(fabs(cubic[minX].fX), fabs(cubic[minY].fY))));
if (denom == 0) {
minXSet |= 1 << index;
minYSet |= 1 << index;
continue;
}
double inv = 1 / denom;
if (approximately_equal_half(cx * inv, cubic[minX].fX * inv)) {
minXSet |= 1 << index;
}
if (approximately_equal_half(cy * inv, cubic[minY].fY * inv)) {
minYSet |= 1 << index;
}
}
if (minXSet == 0xF) { // test for vertical line
if (minYSet == 0xF) { // return 1 if all four are coincident
return coincident_line(cubic, fCubic);
}
return vertical_line(cubic, fCubic);
}
if (minYSet == 0xF) { // test for horizontal line
return horizontal_line(cubic, fCubic);
}
int result = check_linear(cubic, minX, maxX, minY, maxY, fCubic);
if (result) {
return result;
}
if (allowQuadratics == SkReduceOrder::kAllow_Quadratics
&& (result = check_quadratic(cubic, fCubic))) {
return result;
}
fCubic = cubic;
return 4;
}
// reduce to a quadratic or smaller
// look for identical points
// look for all four points in a line
// note that three points in a line doesn't simplify a cubic
// look for approximation with single quadratic
// save approximation with multiple quadratics for later
int reduceOrder(const Cubic& cubic, Cubic& reduction, ReduceOrder_Flags allowQuadratics) {
int index, minX, maxX, minY, maxY;
int minXSet, minYSet;
minX = maxX = minY = maxY = 0;
minXSet = minYSet = 0;
for (index = 1; index < 4; ++index) {
if (cubic[minX].x > cubic[index].x) {
minX = index;
}
if (cubic[minY].y > cubic[index].y) {
minY = index;
}
if (cubic[maxX].x < cubic[index].x) {
maxX = index;
}
if (cubic[maxY].y < cubic[index].y) {
maxY = index;
}
}
for (index = 0; index < 4; ++index) {
if (approximately_equal(cubic[index].x, cubic[minX].x)) {
minXSet |= 1 << index;
}
if (approximately_equal(cubic[index].y, cubic[minY].y)) {
minYSet |= 1 << index;
}
}
if (minXSet == 0xF) { // test for vertical line
if (minYSet == 0xF) { // return 1 if all four are coincident
return coincident_line(cubic, reduction);
}
return vertical_line(cubic, reduction);
}
if (minYSet == 0xF) { // test for horizontal line
return horizontal_line(cubic, reduction);
}
int result = check_linear(cubic, reduction, minX, maxX, minY, maxY);
if (result) {
return result;
}
if (allowQuadratics && (result = check_quadratic(cubic, reduction))) {
return result;
}
memcpy(reduction, cubic, sizeof(Cubic));
return 4;
}
void STDMETHODCALLTYPE SkDWriteGeometrySink::AddBeziers(const D2D1_BEZIER_SEGMENT *beziers, UINT beziersCount) {
SkPoint lastPt;
fPath->getLastPt(&lastPt);
D2D1_POINT_2F prevPt = { SkScalarToFloat(lastPt.fX), SkScalarToFloat(lastPt.fY) };
for (const D2D1_BEZIER_SEGMENT *end = &beziers[beziersCount]; beziers < end; ++beziers) {
Cubic cubic = { { prevPt.x, prevPt.y },
{ beziers->point1.x, beziers->point1.y },
{ beziers->point2.x, beziers->point2.y },
{ beziers->point3.x, beziers->point3.y }, };
Quadratic quadratic;
if (check_quadratic(cubic, quadratic)) {
fPath->quadTo(quadratic[1].x, quadratic[1].y,
quadratic[2].x, quadratic[2].y);
} else {
fPath->cubicTo(beziers->point1.x, beziers->point1.y,
beziers->point2.x, beziers->point2.y,
beziers->point3.x, beziers->point3.y);
}
prevPt = beziers->point3;
}
}